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Shen's L-Process on the Chern Connection | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 4، شماره 1، مهر 2023، صفحه 12-22 اصل مقاله (97.42 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2023.12452.1085 | ||
| نویسندگان | ||
| Morteza Faghfouri* 1؛ Nadereh Jazer2 | ||
| 1Department of Pure Mathematics. Faculty of Mathematical Sciences. University of Tabriz. Tabriz. Iran. | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| The notion of Shen's process was introduced by Tayebi-Najafi in order to construct the Shen connection from the Berwald connection. In this paper, we study the connection obtained by Shen's L-process on the Chern connection. Let (M, F) be a Finsler manifold. Suppose that D is the linear torsion-free connection obtained by Shen's L-process on Chern's connection. First, we show the existence and uniqueness of D. Then, we prove that their hv-curvature coincides if and only if F is a Riemannian metric | ||
| کلیدواژه‌ها | ||
| Chern connection؛ Shen connection؛ Shen's C and L-Processes | ||
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آمار تعداد مشاهده مقاله: 78 تعداد دریافت فایل اصل مقاله: 110 |
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